by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴
finding c using initial condition y(2) = 2.
∴
∴ c = 4
∴
multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure
Answer:
5n^2+(4n)-1
Step-by-step explanation:
(5n-1)(n+1)=0
Lets find <em>n.</em>
(5n-1)(n+1)=0
FOIL it.
5n^2+5n-1n-1
Add/Substract similar factors
5n^2+(5n-1n)-1
5n^2+(4n)-1
Thats your answer.
Step-by-step explanation:
given a slope and a point that the line passes through you have 2 options
Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)
Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.
<span>the total number of sit ups = 7(60 + 5)
= 7 * 60 + 7 * 5
= 420 + 35
= 455
Hope it helps</span>
